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working on reconciling perf for arithmetic solvers

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this update integrates inferences to smt.arith.solver=6 related to grobner basis computation and handling of div/mod axioms to reconcile performance with smt.arith.solver=2.

The default of smt.arth.nl.grobner_subs_fixed is changed to 1 to make comparison with solver=2 more direct.

The selection of cluster equalities for solver=6 was reconciled with how it is done for solver=2.
This commit is contained in:
Nikolaj Bjorner 2022-07-11 07:38:51 -07:00
parent 9d9414c111
commit b68af0c1e5
19 changed files with 357 additions and 282 deletions
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82
src/smt/theory_lra.cpp
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@ -276,23 +276,23 @@ class theory_lra::imp {
m_nla->push();
}
smt_params_helper prms(ctx().get_params());
m_nla->settings().run_order() = prms.arith_nl_order();
m_nla->settings().run_tangents() = prms.arith_nl_tangents();
m_nla->settings().run_horner() = prms.arith_nl_horner();
m_nla->settings().horner_subs_fixed() = prms.arith_nl_horner_subs_fixed();
m_nla->settings().horner_frequency() = prms.arith_nl_horner_frequency();
m_nla->settings().horner_row_length_limit() = prms.arith_nl_horner_row_length_limit();
m_nla->settings().run_grobner() = prms.arith_nl_grobner();
m_nla->settings().run_nra() = prms.arith_nl_nra();
m_nla->settings().grobner_subs_fixed() = prms.arith_nl_grobner_subs_fixed();
m_nla->settings().grobner_eqs_growth() = prms.arith_nl_grobner_eqs_growth();
m_nla->settings().grobner_expr_size_growth() = prms.arith_nl_grobner_expr_size_growth();
m_nla->settings().grobner_expr_degree_growth() = prms.arith_nl_grobner_expr_degree_growth();
m_nla->settings().grobner_max_simplified() = prms.arith_nl_grobner_max_simplified();
m_nla->settings().grobner_number_of_conflicts_to_report() = prms.arith_nl_grobner_cnfl_to_report();
m_nla->settings().grobner_quota() = prms.arith_nl_gr_q();
m_nla->settings().grobner_frequency() = prms.arith_nl_grobner_frequency();
m_nla->settings().expensive_patching() = false;
m_nla->settings().run_order = prms.arith_nl_order();
m_nla->settings().run_tangents = prms.arith_nl_tangents();
m_nla->settings().run_horner = prms.arith_nl_horner();
m_nla->settings().horner_subs_fixed = prms.arith_nl_horner_subs_fixed();
m_nla->settings().horner_frequency = prms.arith_nl_horner_frequency();
m_nla->settings().horner_row_length_limit = prms.arith_nl_horner_row_length_limit();
m_nla->settings().run_grobner = prms.arith_nl_grobner();
m_nla->settings().run_nra = prms.arith_nl_nra();
m_nla->settings().grobner_subs_fixed = prms.arith_nl_grobner_subs_fixed();
m_nla->settings().grobner_eqs_growth = prms.arith_nl_grobner_eqs_growth();
m_nla->settings().grobner_expr_size_growth = prms.arith_nl_grobner_expr_size_growth();
m_nla->settings().grobner_expr_degree_growth = prms.arith_nl_grobner_expr_degree_growth();
m_nla->settings().grobner_max_simplified = prms.arith_nl_grobner_max_simplified();
m_nla->settings().grobner_number_of_conflicts_to_report = prms.arith_nl_grobner_cnfl_to_report();
m_nla->settings().grobner_quota = prms.arith_nl_gr_q();
m_nla->settings().grobner_frequency = prms.arith_nl_grobner_frequency();
m_nla->settings().expensive_patching = false;
}
}
@ -1224,9 +1224,9 @@ public:
return;
}
expr_ref mod_r(a.mk_add(a.mk_mul(q, div), mod), m);
ctx().get_rewriter()(mod_r);
expr_ref eq_r(th.mk_eq_atom(mod_r, p), m);
ctx().internalize(eq_r, false);
ctx().internalize(eq_r, false);
literal eq = ctx().get_literal(eq_r);
rational k(0);
@ -1256,6 +1256,38 @@ public:
}
else {
expr_ref abs_q(m.mk_ite(a.mk_ge(q, zero), q, a.mk_uminus(q)), m);
expr_ref mone(a.mk_int(-1), m);
expr_ref modmq(a.mk_sub(mod, abs_q), m);
ctx().get_rewriter()(modmq);
literal eqz = mk_literal(m.mk_eq(q, zero));
literal mod_ge_0 = mk_literal(a.mk_ge(mod, zero));
literal mod_lt_q = mk_literal(a.mk_le(modmq, mone));
// q = 0 or p = (p mod q) + q * (p div q)
// q = 0 or (p mod q) >= 0
// q = 0 or (p mod q) < abs(q)
mk_axiom(eqz, eq);
mk_axiom(eqz, mod_ge_0);
mk_axiom(eqz, mod_lt_q);
if (a.is_zero(p)) {
mk_axiom(eqz, mk_literal(m.mk_eq(div, zero)));
mk_axiom(eqz, mk_literal(m.mk_eq(mod, zero)));
}
// (or (= y 0) (<= (* y (div x y)) x))
else if (!a.is_numeral(q)) {
expr_ref div_ge(m);
div_ge = a.mk_ge(a.mk_sub(p, a.mk_mul(q, div)), zero);
ctx().get_rewriter()(div_ge);
mk_axiom(eqz, mk_literal(div_ge));
TRACE("arith", tout << eqz << " " << div_ge << "\n");
}
#if 0
/*literal div_ge_0 = */ mk_literal(a.mk_ge(div, zero));
/*literal div_le_0 = */ mk_literal(a.mk_le(div, zero));
/*literal p_ge_0 = */ mk_literal(a.mk_ge(p, zero));
@ -1266,7 +1298,7 @@ public:
// q >= 0 or (p mod q) >= 0
// q <= 0 or (p mod q) >= 0
// q <= 0 or (p mod q) < q
// q >= 0 or (p mod q) < -q
// q >= 0 or (p mod q) < -q
literal q_ge_0 = mk_literal(a.mk_ge(q, zero));
literal q_le_0 = mk_literal(a.mk_le(q, zero));
literal mod_ge_0 = mk_literal(a.mk_ge(mod, zero));
@ -1277,11 +1309,11 @@ public:
mk_axiom(q_le_0, mod_ge_0);
mk_axiom(q_le_0, ~mk_literal(a.mk_ge(a.mk_sub(mod, q), zero)));
mk_axiom(q_ge_0, ~mk_literal(a.mk_ge(a.mk_add(mod, q), zero)));
#endif
#if 0
// seem expensive
mk_axiom(q_le_0, ~p_ge_0, div_ge_0);
mk_axiom(q_le_0, ~p_le_0, div_le_0);
mk_axiom(q_ge_0, ~p_ge_0, div_le_0);
@ -1293,19 +1325,21 @@ public:
mk_axiom(q_ge_0, p_le_0, ~div_ge_0);
#endif
#if 0
std::function<void(void)> log = [&,this]() {
th.log_axiom_unit(m.mk_implies(m.mk_not(m.mk_eq(q, zero)), c.bool_var2expr(eq.var())));
th.log_axiom_unit(m.mk_implies(m.mk_not(m.mk_eq(q, zero)), c.bool_var2expr(mod_ge_0.var())));
th.log_axiom_unit(m.mk_implies(a.mk_lt(q, zero), a.mk_lt(a.mk_sub(mod, q), zero)));
th.log_axiom_unit(m.mk_implies(a.mk_lt(q, zero), a.mk_lt(a.mk_add(mod, q), zero)));
};
if_trace_stream _ts(m, log);
#endif
#if 0
th.log_axiom_unit(m.mk_implies(m.mk_and(a.mk_gt(q, zero), c.bool_var2expr(p_ge_0.var())), c.bool_var2expr(div_ge_0.var())));
th.log_axiom_unit(m.mk_implies(m.mk_and(a.mk_gt(q, zero), c.bool_var2expr(p_le_0.var())), c.bool_var2expr(div_le_0.var())));
th.log_axiom_unit(m.mk_implies(m.mk_and(a.mk_lt(q, zero), c.bool_var2expr(p_ge_0.var())), c.bool_var2expr(div_le_0.var())));
th.log_axiom_unit(m.mk_implies(m.mk_and(a.mk_lt(q, zero), c.bool_var2expr(p_le_0.var())), c.bool_var2expr(div_ge_0.var())));
#endif
};
if_trace_stream _ts(m, log);
}
if (params().m_arith_enum_const_mod && k.is_pos() && k < rational(8)) {
unsigned _k = k.get_unsigned();